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Simplifying -3(3 + -8k) = -8k + 23 (3 * -3 + -8k * -3) = -8k + 23 (-9 + 24k) = -8k + 23 Reorder the terms: -9 + 24k = 23 + -8k Solving -9 + 24k = 23 + -8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '8k' to each side of the equation. -9 + 24k + 8k = 23 + -8k + 8k Combine like terms: 24k + 8k = 32k -9 + 32k = 23 + -8k + 8k Combine like terms: -8k + 8k = 0 -9 + 32k = 23 + 0 -9 + 32k = 23 Add '9' to each side of the equation. -9 + 9 + 32k = 23 + 9 Combine like terms: -9 + 9 = 0 0 + 32k = 23 + 9 32k = 23 + 9 Combine like terms: 23 + 9 = 32 32k = 32 Divide each side by '32'. k = 1 Simplifying k = 1
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